Particle approximation of a constrained model for traffic flow

被引：6

作者：

Berthelin, Florent ^{[1
]}

Goatin, Paola ^{[2
]}

机构：

[1] Univ Nice Sophia Antipolis, Univ Cote Azur, CNRS, LJAD,UMR 7351, Parc Valrose, F-06108 Nice 2, France

[2] Univ Cote Azur, CNRS, INRIA, Inria Sophia Antipolis Mediterranee,LJAD, 2004 Route Lucioles,BP 93, F-06902 Sophia Antipolis, France

来源：

NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS | 2017年 / 24卷 / 05期

关键词：

Conservation laws with density constraint; Many-particle system; Traffic flow models; MICRO-MACRO LIMIT; EVOLUTION; JAMS;

D O I：

10.1007/s00030-017-0480-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We rigorously prove the convergence of the micro-macro limit for particle approximations of the constrained pressureless gas dynamics system. The lack of BV bounds on the density variable is supplied by a compensated compactness argument.

引用

页数：16

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